8017072 has 40 divisors (see below), whose sum is σ = 18141696. Its totient is φ = 3360576.

The previous prime is 8017063. The next prime is 8017091. The reversal of 8017072 is 2707108.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4503 + ... + 6025.

Almost surely, 2^8017072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8017072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9070848).

8017072 is an abundant number, since it is smaller than the sum of its proper divisors (10124624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8017072 is a wasteful number, since it uses less digits than its factorization.

8017072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 25.

The square root of 8017072 is about 2831.4434481374. The cubic root of 8017072 is about 200.1421655875.

The spelling of 8017072 in words is "eight million, seventeen thousand, seventy-two".